Two-dimensional cubic nonlinear coupling estimation in nonzero-mean multiplicative noise

Abstract

This paper describes an algorithm based on cyclic statistic to estimate the two-dimensional (2-D) frequency of harmonic process which cubic nonlinear coupling exists. We defined a fourth-order time-average moment spectrum. It can be applied to obtain the coupled and coupling frequencies in nonzero-mean multiplicative noise. This method needn't constrain the distribution and the color of noises. Simulation examples illustrate the algorithms.